Simulation of flame propagation in a coal-methane-air mixture in a cylindrical channel taken into account of gas viscosity

The paper presents the results of a numerical study of the patterns of flame propagation of a coal-methane-air mixture in a narrow cylindrical channel in the presence of viscous friction forces. The formulation of the problem is based on the approaches of the mechanics of two-phase reacting media. The method for solving the problem is based on an arbitrary discontinuity decay algorithm. The numerical study carried out made it possible to determine the speed of flame propagation of a coal-methane-air mixture in an axisymmetric channel. It is shown that at the initial stage, when the combustion front reaches the side walls of the channel, the flame speed increases. This effect was obtained previously for an inviscid gas. It was found that the flame front of a gas suspension with a low content of coal dust, as it moves along an open channel, tends to be flat, independent of the coordinate along the radius of the channel.